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Technical note: Excel spreadsheet calculation of the Henssge equation as an aid to estimating postmortem interval
Masaomi Otatsume1, Norihiro Shinkawa2, Myu Tachibana3
1Department of Neuropsychiatry, Fujimidai Hospital, Hiratsuka, Kanagawa, Japan.
Journal of Forensic and Legal Medicine
|December 15, 2023
Summary
Estimating time of death is crucial in forensic science. This study presents two Excel spreadsheets for numerically solving the Henssge equation, improving postmortem interval estimation accuracy.
Area of Science:
- Forensic Science
- Biophysics
- Computational Biology
Background:
- Estimating the postmortem interval is critical in forensic investigations when the time of death is unknown.
- The Henssge equation, based on postmortem cooling and body parameters, is a key method for this estimation.
- Traditional methods for solving the Henssge equation, such as nomograms, can be cumbersome and less accessible with modern technology.
Purpose of the Study:
- To develop user-friendly computational tools for solving the Henssge equation.
- To provide accurate and accessible methods for estimating the postmortem interval using readily available software.
- To facilitate the application of the Henssge equation in forensic casework through digital solutions.
Main Methods:
- Development of two distinct Excel spreadsheets for numerical analysis of the Henssge equation.
- One spreadsheet utilizes an iterative approach with the Solver add-in for high accuracy.
- The second spreadsheet employs forward calculation with XLOOKUP to find the closest approximation of the postmortem interval.
Main Results:
- Both developed Excel spreadsheets provide effective numerical solutions to the Henssge equation.
- The iterative method offers a highly accurate estimation of the postmortem interval.
- The forward calculation method provides a practical and approximate solution, suitable for rapid analysis.
Conclusions:
- The created Excel spreadsheets offer practical and efficient computational solutions for the Henssge equation.
- These tools enhance the accessibility and accuracy of postmortem interval estimation in forensic science.
- The availability of these digital tools supports forensic practitioners in their investigations.

